Almost sure stability of second‐order nonlinear stochastic system with Lévy noise via sliding mode control
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4707
Abstract: The almost sure stability of second‐order nonlinear stochastic system with Lévy noise is studied by sliding mode control method. A conventional linear sliding mode surface is first constructed, by employing stochastic analysis technique combined with… read more here.
Keywords: system; mode control; sure stability; sliding mode ... See more keywords
Equidistribution for Nonuniformly Expanding Dynamical Systems, and Application to the Almost Sure Invariance Principle
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3062-z
Abstract: Let $${T : M \to M}$$T:M→M be a nonuniformly expanding dynamical system, such as logistic or intermittent map. Let $${v : M \to \mathbb{R}^d}$$v:M→Rd be an observable and $${v_n = \sum_{k=0}^{n-1} v \circ T^k}$$vn=∑k=0n-1v∘Tk denote… read more here.
Keywords: invariance principle; sure invariance; almost sure; expanding dynamical ... See more keywords
On the hardness of analyzing probabilistic programs
Sign Up to like & getrecommendations! Published in 2018 at "Acta Informatica"
DOI: 10.1007/s00236-018-0321-1
Abstract: We study the hardness of deciding probabilistic termination as well as the hardness of approximating expected values (e.g. of program variables) and (co)variances for probabilistic programs.Termination We distinguish two notions of probabilistic termination: Given a… read more here.
Keywords: sure termination; probabilistic programs; program; value ... See more keywords
Almost sure synchronization for nonlinear complex stochastic networks with Lévy noise
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4607-1
Abstract: In this paper, almost sure synchronization is developed for a class of nonlinear complex stochastic networks with an adaptive feedback control. This class of networks are characterized under a general framework, including (1) a continuous… read more here.
Keywords: stochastic networks; nonlinear complex; almost sure; sure synchronization ... See more keywords
Almost sure convergence of ILC for networked linear systems with random link failures
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-015-0273-y
Abstract: The iterative learning control (ILC) problem for networked linear system with random link failure is addressed in this paper. The link failures arise both from the controller to the plant and from the plant to… read more here.
Keywords: link failures; link; sure convergence; almost sure ... See more keywords
Almost sure stability of discrete-time nonlinear Markovian jump delayed systems with impulsive signals
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2019.06.001
Abstract: Abstract This study investigates the almost sure stability for a class of discrete-time nonlinear Markovian jump delayed systems with impulsive signals, where delay and external input exist in continuous and discrete dynamics. Sufficient conditions that… read more here.
Keywords: sure stability; time; jump; almost sure ... See more keywords
Almost sure convergence to the Quicksort process
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DOI: 10.1016/j.spa.2020.03.008
Abstract: Abstract The algorithm Partial Quicksort, introduced by Conrado Martinez, sorts the l smallest real numbers for a set of n different ones. It uses a splitting like Quicksort, continuing always with the leftmost list. The… read more here.
Keywords: quicksort process; convergence quicksort; quicksort; process ... See more keywords
Small-time almost-sure behaviour of extremal processes
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Probability"
DOI: 10.1017/apr.2017.7
Abstract: Abstract An rth-order extremal process Δ(r) = (Δ(r) t ) t≥0 is a continuous-time analogue of the rth partial maximum sequence of a sequence of independent and identically distributed random variables. Studying maxima in continuous… read more here.
Keywords: sure behaviour; time; time almost; behaviour extremal ... See more keywords
Almost sure asymptotic properties of central order statistics from stationary processes
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2020.1741629
Abstract: Abstract In this article, we formulate and prove new properties of conditional quantiles given one of the particular sigma-fields. Next, we use them to investigate almost sure asymptotic behavior of central order statistics which arise… read more here.
Keywords: sure asymptotic; central order; stationary processes; order statistics ... See more keywords
Push-Sum on Random Graphs: Almost Sure Convergence and Convergence Rate
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2929206
Abstract: In this paper, we study the problem of achieving average consensus over a random time-varying sequence of directed graphs by extending the class of so-called push-sum algorithms to such random scenarios. Provided that an ergodicity… read more here.
Keywords: push sum; sure convergence; almost sure; convergence ... See more keywords
Almost Sure Stability of Nonlinear Systems Under Random and Impulsive Sequential Attacks
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.2972220
Abstract: This article is concerned with the stability problem for a class of Lipschitz-type nonlinear systems in networked environments, which are suffered from random and impulsive deception attacks. The attack is modeled as a randomly destabilizing… read more here.
Keywords: random impulsive; sure stability; stability; almost sure ... See more keywords